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2034141356130 = 23513172477123863
BaseRepresentation
bin11101100110011100010…
…001011110000001100010
321012110110210211102221120
4131212130101132001202
5231311410141344010
64154245512433110
7266650630146342
oct35463421360142
97173423742846
102034141356130
11714746846a94
1228a2919a8796
13119a84911550
147064ad26d22
1537da549ee70
hex1d99c45e062

2034141356130 has 128 divisors (see below), whose sum is σ = 5569028494848. Its totient is φ = 471064031232.

The previous prime is 2034141356129. The next prime is 2034141356179. The reversal of 2034141356130 is 316531414302.

It is a junction number, because it is equal to n+sod(n) for n = 2034141356091 and 2034141356100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16360579 + ... + 16484441.

It is an arithmetic number, because the mean of its divisors is an integer number (43508035116).

Almost surely, 22034141356130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034141356130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784514247424).

2034141356130 is an abundant number, since it is smaller than the sum of its proper divisors (3534887138718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2034141356130 is a wasteful number, since it uses less digits than its factorization.

2034141356130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126380.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 2034141356130 in words is "two trillion, thirty-four billion, one hundred forty-one million, three hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 2477 3315 4954 6630 7431 12385 14862 24770 32201 37155 42109 64402 74310 84218 96603 123863 126327 161005 193206 210545 247726 252654 322010 371589 421090 483015 547417 619315 631635 743178 966030 1094834 1238630 1263270 1610219 1642251 1857945 2105671 2737085 3220438 3284502 3715890 4211342 4830657 5474170 6317013 8051095 8211255 9661314 10528355 12634026 16102190 16422510 21056710 24153285 27373723 31585065 48306570 54747446 63170130 82121169 136868615 164242338 273737230 306808651 410605845 613617302 821211690 920425953 1534043255 1840851906 3068086510 3988512463 4602129765 5215747067 7977024926 9204259530 10431494134 11965537389 15647241201 19942562315 23931074778 26078735335 31294482402 39885124630 52157470670 59827686945 67804711871 78236206005 119655373890 135609423742 156472412010 203414135613 339023559355 406828271226 678047118710 1017070678065 2034141356130